SOLUTION: I am having trouble with this 10x+y=4 30x-12=-3 I need to know if they have one solution, no solution, or infinite number Is the system inconsistent, are the equation dependen

Algebra ->  Linear-equations -> SOLUTION: I am having trouble with this 10x+y=4 30x-12=-3 I need to know if they have one solution, no solution, or infinite number Is the system inconsistent, are the equation dependen      Log On


   

Question 287295: I am having trouble with this
10x+y=4
30x-12=-3
I need to know if they have one solution, no solution, or infinite number
Is the system inconsistent, are the equation dependent or either graph parellel,one line, intersect
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
I suspect that you forgot to include y in the second equation
I will place it where I think it should be.
10x+y=4
30x-12y=-3
The slope of the first is -10/1=-10
The slope of the second is -30/-12=15/6=5/2=2.5
So they are not parallel and not perpendicular
multiply the first by -3
-30x-3y=-12
30x-12y=-3
add them
-15y=-15
y=1
10x+1=4
10x=3
x=3/10
The only solution is (3/10,1)
Google "independent consistent"